Common Core State Standards Content Area: Statistics and Probability Grade Level: High School Domain: Using Probability to Make Decisions Cluster: Calculate expected values and use them to solve problems Standards: 2. Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
4. Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.
What understandings are desired?
Students will understand that:(U)
•probability is useful in problem solving and decision making.
•the probability distribution is everywhere in real life.
•the expected value is related to the probability distribution.
What essential questions will be considered?
Essential Questions:(Q)
•Why is probability useful in problem solving and decision making?
•How can the probability distribution be used in the real world?
•How is expected value related to the probability distribution?
What key knowledge and skills will students acquire as a result of this unit?
Students will know:(K)
Students will be able to:(S)
•Definitions - probability, expected value, probability distribution, random variable, mean, median, standard deviation, standard error
•Formulas - expected value formula, probability distribution formula, z-value formula for means, z-value formula for probability
•Critical details - problem solving, decision making
•describe the probability distribution.
•evaluate the impact of their decision.
•solve a problem using probability.
•compare and contrast expected value and the probability distribution.
•relate expected value to the probability distribution.
•recognize where the probability distribution appears in their everyday lives outside of the classroom.
Stage 1 - Identify Desired Results
Content Area: Statistics and Probability
Grade Level: High School
Domain: Using Probability to Make Decisions
Cluster: Calculate expected values and use them to solve problems
Standards: 2. Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
4. Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.
What understandings are desired?
•the probability distribution is everywhere in real life.
•the expected value is related to the probability distribution.
What essential questions will be considered?
•How can the probability distribution be used in the real world?
•How is expected value related to the probability distribution?
What key knowledge and skills will students acquire as a result of this unit?
•Formulas - expected value formula, probability distribution formula, z-value formula for means, z-value formula for probability
•Critical details - problem solving, decision making
•evaluate the impact of their decision.
•solve a problem using probability.
•compare and contrast expected value and the probability distribution.
•relate expected value to the probability distribution.
•recognize where the probability distribution appears in their everyday lives outside of the classroom.
2004 ASCD and Grant Wiggins and Jay McTighe.